Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method

SA Bhanotar, MKA Kaabar - International Journal of Differential …, 2021 - Wiley Online Library
In this paper, a novel analytical method for solving nonlinear partial differential equations is
studied. This method is known as triple Laplace transform decomposition method. This …

New Exact Soliton Solutions of the (3+ 1)‐Dimensional Conformable Wazwaz–Benjamin–Bona–Mahony Equation via Two Novel Techniques

MKA Kaabar, M Kaplan, Z Siri - Journal of Function Spaces, 2021 - Wiley Online Library
In this work, the (3+ 1)‐dimensional Wazwaz–Benjamin–Bona–Mahony equation is
formulated in the sense of conformable derivative. Two novel methods of generalized …

[HTML][HTML] Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order

M Shakeel, A Manan, NB Turki, NA Shah, SM Tag - Results in Physics, 2023 - Elsevier
Abstract The newly modified Benjamin-Bona-Mahony equations in three dimensions are
examined in the current work through the use of conformable fractional derivatives to …

[HTML][HTML] New approximate-analytical solutions to partial differential equations via auxiliary function method

L Zada, R Nawaz, KS Nisar, M Tahir, M Yavuz… - … Differential Equations in …, 2021 - Elsevier
In this article, the optimal auxiliary function method (OAFM) is extended to general partial
differential equations (PDEs). Our proposed method is highly efficient and provides the …

A study on the solutions of a multiterm FBVP of variable order

Z Bouazza, S Etemad, MS Souid… - Journal of Function …, 2021 - Wiley Online Library
In the present research study, for a given multiterm boundary value problem (BVP) involving
the nonlinear fractional differential equation (NnLFDEq) of variable order, the uniqueness …

[HTML][HTML] New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

A Akbulut, M Kaplan, MKA Kaabar - Journal of Ocean Engineering and …, 2023 - Elsevier
The current work aims to present abundant families of the exact solutions of Mikhailov-
Novikov-Wang equation via three different techniques. The adopted methods are …

Generalized conformable mean value theorems with applications to multivariable calculus

F Martínez, I Martínez, MKA Kaabar… - Journal of …, 2021 - Wiley Online Library
The conformable derivative and its properties have been recently introduced. In this
research work, we propose and prove some new results on the conformable calculus. By …

Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations

AK Sethi, M Ghaderi, S Rezapour, MKA Kaabar… - Journal of Applied …, 2022 - Springer
Some electrical events consist of mathematical models and due to the essence of electric
current, their related differential equations have naturally an interesting property where all …

From Lidar Measurement to Rotor Effective Wind Speed Prediction: Empirical Mode Decomposition and Gated Recurrent Unit Solution

S Shi, Z Liu, X Deng, S Chen, D Song - Sensors, 2023 - mdpi.com
Conventional wind speed sensors face difficulties in measuring wind speeds at multiple
points, and related research on predicting rotor effective wind speed (REWS) is lacking. The …

New soliton solutions for the higher-dimensional non-local Ito equation

M Inc, EA Az-Zo'bi, A Jhangeer, H Rezazadeh… - Nonlinear …, 2021 - degruyter.com
Abstract In this article,(2+ 1)-dimensional Ito equation that models waves motion on shallow
water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the …